DLMF:20.5.E10 (Q6777): Difference between revisions

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Revision as of 14:33, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:34, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols used
			sine function
		Property / Symbols used: sine function / rank
			Normal rank
		Property / Symbols used: sine function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sin\NVar{z}}}$ \sin@@{\NVar{z}}
		Property / Symbols used: sine function / qualifier
			xml-id: C4.S14.E1.m2acdec
		Property / Symbols used
			Q11947
		Property / Symbols used: Q11947 / rank
			Normal rank
		Property / Symbols used: Q11947 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q11947 / qualifier
			xml-id: C20.S1.XMD2.m1idec
		Property / Symbols used
			Q11948
		Property / Symbols used: Q11948 / rank
			Normal rank
		Property / Symbols used: Q11948 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11948 / qualifier
			xml-id: C20.S1.XMD3.m1idec
		Property / Symbols used
			Q11950
		Property / Symbols used: Q11950 / rank
			Normal rank
		Property / Symbols used: Q11950 / qualifier
			Defining formula: ${\displaystyle{\displaystyle q}}$ q
		Property / Symbols used: Q11950 / qualifier
			xml-id: C20.S1.XMD5.m1edec

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Latest revision as of 14:34, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:20.5.E10	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\frac{\theta_{1}'\left(z,q\right)}{\theta_{1}\left(z,q\right)}-\cot z=4\sin\left(2z\right)\sum_{n=1}^{\infty}\frac{q^{2n}}{1-2q^{2n}\cos\left(2z\right)+q^{4n}}=4\sum_{n=1}^{\infty}\frac{q^{2n}}{1-q^{2n}}\sin\left(2nz\right),}}$

0 references

DLMF id

DLMF:20.5.E10

0 references

Symbols used

Q11945

Defining formula

${\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}$

xml-id

C20.S2.SS1.m2addec

0 references

cosine function

Defining formula

${\displaystyle{\displaystyle\cos\NVar{z}}}$

xml-id

C4.S14.E2.m2afdec

0 references

cotangent function

Defining formula

${\displaystyle{\displaystyle\cot\NVar{z}}}$

xml-id

C4.S14.E7.m2adec

0 references

sine function

Defining formula

${\displaystyle{\displaystyle\sin\NVar{z}}}$

xml-id

C4.S14.E1.m2acdec

0 references

Q11947

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C20.S1.XMD2.m1idec

0 references

Q11948

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C20.S1.XMD3.m1idec

0 references

Q11950

Defining formula

${\displaystyle{\displaystyle q}}$

xml-id

C20.S1.XMD5.m1edec

0 references

 

Sitelinks

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DRMF related sites(0 entries)

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